In this course the fundamental notions relative to abstract harmonic analysis will be presented, namely the basics of unitary representations of locally compact topological groups, emphasizing the analytic aspects and working on some important examples.
The lectures will be delivered in Italian
The course aims to provide an introduction to distribution theory and some of its applications
The objective is to introduce the main analytic problems addressed by representation theory, and to develop general techniques relative to integration on homogeneous spaces
Basic notions of Functional Analysis will be used throughout
Traditional.
The problems’ sessions consist of a blackboard discussion with the students of the proposed exercises
The course is divided into four chapters:
- G. Folland, An Introduction to Abstract Harmonic Analysis, CRC press.
Ricevimento: Weekly office hours will be communicated. Meetings upon email requests will also be considered.
FILIPPO DE MARI CASARETO DAL VERME (President)
ERNESTO DE VITO
GIOVANNI ALBERTI (President Substitute)
FRANCESCA ASTENGO (President Substitute)
ANDREA BRUNO CARBONARO (President Substitute)
In agreement with the academic calendar, approved by the “Consiglio di Corsi di Studi”
The final grade is based on the discussions that have taken place during the problem sessions and on the oral examination
Students with certified inabilities or special needs are kindly invited to contact the teacher at the beginning of the course in order to agree on the suitable adjustments that respect both the objectives of the course and the individual needs
The blackboard discussion of the exercises assigned as homework is voluntary and consists in presenting the arguments used in solving the proposed problems, including the difficulties encountered.
The main purpose of the oral examination is to evaluate the students' ability to apply the theory developed in class to the main examples. In the oral examination, the degree of understandin and the ability to explain and connect the various concepts are evaluated.
